Linear groups over a locally linear division ring

Details Linear groups over a locally linear division ring Linear groups over a locally linear division ring

2010-12-28

arxiv.org/abs/1012.5745v3

Mathematics

Rings and Algebras

11 pages

Scientific paper

In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to construct non-trivial examples of rings of new defined classes. Further, we study linear groups over division rings of these classes. Our new obtained results generalize precedent results for centrally finite division rings.

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